Publications
2024
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Bringing the WebAssembly Standard up to Speed with SpecTec
- Dongjun Youn
- Wonho Shin
- Jaehyun Lee
- Sukyoung Ryu
- Joachim Breitner
- Philippa Gardner
- Sam Lindley
- Matija Pretnar
- Xiaojia Rao
- Conrad Watt
- Andreas Rossberg
2023
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Symbolic Debugging with Gillian
Proceedings of the 1st ACM International Workshop on Future Debugging Techniques, pp. 1–2
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Exact Separation Logic: Towards Bridging the Gap Between Verification and Bug-Finding
- Petar Maksimović
- Caroline Cronjäger
- Andreas Lööw
- Julian Sutherland
- Philippa Gardner
37th European Conference on Object-Oriented Programming (ECOOP 2023), pp. 19:1–19:27
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Iris-Wasm: Robust and Modular Verification of WebAssembly Programs
- Xiaojia Rao
- Aïna Linn Georges
- Maxime Legoupil
- Conrad Watt
- Jean Pichon-Pharabod
- Philippa Gardner
- Lars Birkedal
44th ACM SIGPLAN Conference on Programming Language Design and Implementation (PLDI 2023), pp. 151:1–151:25
2022
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A Trusted Infrastructure for Symbolic Analysis of Event-based Web APIs
Ph.D. Thesis, Imperial College London
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A Certified Algorithm for AC-Unification
- Mauricio Ayala-Rincón
- Maribel Fernández
- Gabriel Ferreira Silva
- Daniele Nantes
7th International Conference on Formal Structures for Computation and Deduction (FSCD 2022), pp. 8:1–8:21
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Nominal Anti-Unification with Atom-Variables
- Manfred Schmidt-Schauß
- Daniele Nantes
7th International Conference on Formal Structures for Computation and Deduction (FSCD 2022), pp. 7:1–7:22
2021
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TaDA Live: Compositional Reasoning for Termination of Fine-grained Concurrent Programs
- Emanuele D’Osualdo
- Azadeh Farzan
- Philippa Gardner
- Julian Sutherland
ACM Transactions on Programming Languages and Systems (TOPLAS), submitted Jan 2020; accepted 2021., vol. 43(4)
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Gillian, Part II: Real-World Verification for JavaScript and C
- Petar Maksimovic
- Sacha-Élie Ayoun
- José Fragoso Santos
- Philippa Gardner
Proceedings of the 33rd Computer Aided Verification International Conference, CAV 2021, Virtual Event, July 20-23, 2021, Part II, pp. 827–850
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Two Mechanisations of WebAssembly 1.0
- Conrad Watt
- Xiaojia Rao
- Jean Pichon-Pharabod
- Martin Bodin
- Philippa Gardner
Proceedings of the 24th international symposium of Formal Methods (FM21), Beijing, China; November 20-25, 2021, pp. 61–79
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Types and Terms Translated: Unrestricted Resources in Encoding Functions as Processes
- Joseph W. N. Paulus
- Daniele Nantes
- Jorge A. Pérez
27th International Conference on Types for Proofs and Programs, TYPES 2021, June 14-18, 2021, Leiden, The Netherlands (Virtual Conference), pp. 11:1–11:24
2020
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Decidable Inductive Invariants for Verification of Cryptographic Protocols with Unbounded Sessions
- Emanuele D’Osualdo
- Felix Stutz
Proceedings of the 31st International Conference on Concurrency Theory, CONCUR 2020, September 1-4, 2020, Vienna, Austria (Virtual Conference), pp. 31:1–31:23
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Gillian, Part I: A Multi-language Platform for Symbolic Execution
Proceedings of the 41st ACM SIGPLAN International Conference on Programming Language Design and Implementation (PLDI ’20), June 15–20, 2020, London, UK
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Parametric Operational Semantics for Consistency Models
Ph.D. Thesis, Imperial College London
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Data Consistency in Transactional Storage Systems: a Centralised Approach
Proceedings of the 34th European Conference on Object-Oriented Programming (ECOOP 2020)
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A Trusted Infrastructure for Symbolic Analysis of Event-Driven Web Applications
Proceedings of the 34th European Conference on Object-Oriented Programming (ECOOP 2020)
2019
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JaVerT 2.0: Compositional Symbolic Execution for JavaScript
Proceedings of the 46th ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages (POPL’19), vol. 3( POPL)
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Skeletal Semantics and their Interpretations
- Martin Bodin
- Philippa Gardner
- Thomas Jensen
- Alan Schmitt
Proceedings of the 46th ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages (POPL’19)
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A Program Logic for First-Order Encapsulated WebAssembly
- Conrad Watt
- Petar Maksimovic
- Neelakantan R. Krishnaswami
- Philippa Gardner
Proceedings of the 33rd European Conference on Object-Oriented Programming (ECOOP 2019), pp. 9:1–9:30
2018
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Symbolic Execution for JavaScript
- José Fragoso Santos
- Petar Maksimovic
- Théotime Grohens
- Julian Dolby
- Philippa Gardner
Proceedings of the 20th International Symposium on Principles and Practice of Declarative Programming, PPDP 2018, Frankfurt am Main, Germany, September 03-05, 2018, pp. 11:1–11:14
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JaVerT: JavaScript Verification and Testing Framework: Invited Talk
Proceedings of the 20thh International Symposium on Principles and Practice of Declarative Programming, PPDP 2018, Frankfurt am Main, Germany, September 03-05, 2018, pp. 1:1–1:4
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A Perspective on Specifying and Verifying Concurrent Modules
- Thomas Dinsdale-Young
- Pedro da Rocha Pinto
- Philippa Gardner
Journal of Logical and Algebraic Methods in Programming, vol. 98, pp. 1–25
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A Concurrent Specification of POSIX File Systems
Proceedings of the 32nd European Conference on Object-Oriented Programming (ECOOP 2018).
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JSExplain: a Double Debugger for JavaScript
- Arthur Charguéraud
- Alan Schmitt
- Thomas Wood
WWW ’18 Companion: The 2018 Web Conference Companion, April 23–27, 2018, Lyon, France
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JaVerT: JavaScript Verification Toolchain
Proceedings of the 45th ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages (POPL’18), pp. 50:1–50:33
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An Infrastructure for Tractable Verification of JavaScript Programs
Ph.D. Thesis, Imperial College London
2017
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Algebraic Laws for Weak Consistency
- Andrea Cerone
- Alexey Gotsman
- Hongseok Yang
Proceedings of 28th International Conference on Concurrency Theory, (Concur 2017)
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Verified Trustworthy Software Systems
Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol. 375(2104)
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Towards Logic-based Verification of JavaScript Programs
Proceedings of 26th Conference on Automated Deduction (CADE 26)
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- Emanuele D’Osualdo
- Luke Ong
- Alwen Tiu
Proceedings of 30th IEEE Computer Security Foundations Symposium, (CSF 2017)
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Abstraction, Refinement and Concurrent Reasoning
Ph.D. Thesis, Imperial College London
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Reasoning with Time and Data Abstractions
Ph.D. Thesis, Imperial College London
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Caper: Automatic Verification for Fine-grained Concurrency
- Thomas Dinsdale-Young
- Pedro da Rocha Pinto
- Kristoffer Just Andersen
- Lars Birkedal
Proceedings of the 26th European Symposium on Programming (ESOP’17), pp. 420–447
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Abstract Specifications for Concurrent Maps
Proceedings of the 26th European Symposium on Programming (ESOP’17), pp. 964–990
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Reasoning About POSIX File Systems
Ph.D. Thesis, Imperial College London
2016
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Modular Termination Verification for Non-blocking Concurrency
- Pedro da Rocha Pinto
- Thomas Dinsdale-Young
- Philippa Gardner
- Julian Sutherland
Proceedings of the 25th European Symposium on Programming (ESOP’16), pp. 176–201
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DOM: Specification and Client Reasoning
Proceedings of the 13th Asian Symposium on Programming Languages and Systems (APLAS’16), pp. 401–422
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Mashic Compiler: Mashup Sandboxing based on Inter-frame Communication
- Zhengqin Luo
- José Fragoso Santos
- Ana Almeida Matos
- Tamara Rezk
Journal of Computer Security, vol. 1(24), pp. 91–136
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Verifying Concurrent Graph Algorithms
- Azalea Raad
- Aquinas Hobor
- Jules Villard
- Philippa Gardner
Proceedings of the 13th Asian Symposium on Programming Languages and Systems (APLAS’16), pp. 314–334
2015
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Fault-tolerant Resource Reasoning
Proceedings of the 13th Asian Symposium on Programming Languages and Systems (APLAS’15), pp. 169–188
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Reasoning about the POSIX File System: Local Update and Global Pathnames
Proceedings of the 30th Annual ACM SIGPLAN Conference on Object-Oriented Programming, Systems, Languages, and Applications (OOPSLA’15), pp. 201–220
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Steps in Modular Specifications for Concurrent Modules (Invited Tutorial Paper)
- Pedro da Rocha Pinto
- Thomas Dinsdale-Young
- Philippa Gardner
Electr. Notes Theor. Comput. Sci., vol. 319, pp. 3–18
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CoLoSL: Concurrent Local Subjective Logic
- Azalea Raad
- Jules Villard
- Philippa Gardner
Proceedings of the 24th European Symposium on Programming (ESOP’15), pp. 710–735
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A Trusted Mechanised Specification of JavaScript: One Year On
- Philippa Gardner
- Gareth Smith
- Conrad Watt
- Thomas Wood
Proceedings of the 27th International Conference on Computer Aided Verification (CAV’15), pp. 3–10
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Modular Monitor Extensions for Information Flow Security in JavaScript
- José Fragoso Santos
- Tamara Rezk
- Ana Almeida Matos
Trustworthy Global Computing - 10th International Symposium, TGC 2015, Madrid, Spain, August 31 - September 1, 2015 Revised Selected Papers, pp. 47–62
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Hybrid Typing of Secure Information Flow in a JavaScript-Like Language
- José Fragoso Santos
- Thomas Jensen
- Tamara Rezk
- Alan Schmitt
Trustworthy Global Computing - 10thh International Symposium, TGC 2015, Madrid, Spain, August 31 - September 1, 2015 Revised Selected Papers, pp. 63–78
2014
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TaDA: A Logic for Time and Data Abstraction
- Pedro da Rocha Pinto
- Thomas Dinsdale-Young
- Philippa Gardner
Proceedings of the 28th European Conference on Object-Oriented Programming (ECOOP’14), pp. 207–231
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A Trusted Mechanised JavaScript Specification
- Martin Bodin
- Arthur Charguéraud
- Daniele Filaretti
- Philippa Gardner
- Sergio Maffeis
- Daiva Naudziuniene
- Alan Schmitt
- Gareth Smith
Proceedings of the 41st Annual ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages (POPL’14), pp. 87–100
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Local Reasoning for the POSIX File System
- Philippa Gardner
- Gian Ntzik
- Adam Wright
Proceedings of the 23rd European Symposium on Programming (ESOP’14), pp. 169–188
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Abstract Local Reasoning for Concurrent Libraries: Mind the Gap
- Philippa Gardner
- Azalea Raad
- Mark J. Wheelhouse
- Adam Wright
Proceedings of the 30th Conference on the Mathematical Foundations of Programming Semantics (MFPS’14), vol. 308, pp. 147–166
2013
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- Adam Douglas Wright
Ph.D. Thesis, Imperial College London
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JuS: Squeezing the Sense out of JavaScript Programs
- Philipa Gardner
- Daiva Naudziuniene
- Gareth Smith
2nd Annual Workshop on Tools for JavaScript Analysis (JSTools ’13)
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Views: Compositional Reasoning for Concurrent Programs
- Thomas Dinsdale-Young
- Lars Birkedal
- Philippa Gardner
- Matthew J. Parkinson
- Hongseok Yang
Proceedings of the 40th Annual ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages (POPL’13), pp. 287–300
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Programming Languages and Systems
Programming Languages and Systems - 22nd European Symposium on Programming, ESOP 2013, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2013, Rome, Italy, March 16-24, 2013. Proceedings
2012
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- Mark James Wheelhouse
Ph.D. Thesis, Imperial College London
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Towards a Program Logic for JavaScript
- Philippa Gardner
- Sergio Maffeis
- Gareth Smith
Proceedings of the 39th ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages (POPL’12), pp. 31–44
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- Luca Cardelli
- Philippa Gardner
Theor. Comput. Sci., vol. 431, pp. 40–55
2011
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Abstract Data and Local Reasoning
- Thomas Dinsdale-Young
Ph.D. Thesis, Imperial College London
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A Simple Abstraction for Complex Concurrent Indexes
- Pedro da Rocha Pinto
- Thomas Dinsdale-Young
- Mike Dodds
- Philippa Gardner
- Mark J. Wheelhouse
Proceedings of the 26th Annual ACM SIGPLAN Conference on Object-Oriented Programming, Systems, Languages, and Applications (OOPSLA’11), pp. 845–864
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Local Reasoning about Web Programs
- Gareth D. Smith
Ph.D. Thesis, Imperial College London
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- Thomas Dinsdale-Young
- Philippa Gardner
- Mark Wheelhouse
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Abstract Local Reasoning for Program Modules
- Thomas Dinsdale-Young
- Philippa Gardner
- Mark J. Wheelhouse
Proceedings of the 4th International Conference on Algebra and Coalgebra in Computer Science (CALCO’11), pp. 36–39
2010
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Resource Reasoning and Labelled Separation Logic
- Mohammad Raza
Imperial College London
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Resource Reasoning about Mashups
- Philippa A Gardner
- Gareth D Smith
- Adam D Wright
VSTTE Theory Workshop 2010
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Report on the EDBT/ICDT 2010 workshop on updates in XML
- Michael Benedikt
- Daniela Florescu
- Philippa Gardner
- Giovanna Guerrini
- Marco Mesiti
- Emmanuel Waller
SIGMOD Record, vol. 39(1), pp. 54–57
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- Luca Cardelli
- Philippa Gardner
Programs, Proofs, Processes, 6th Conference on Computability in Europe, CiE 2010, Ponta Delgada, Azores, Portugal, June 30 - July 4, 2010. Proceedings, pp. 78–87
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Adjunct elimination in Context Logic for Trees
- Cristiano Calcagno
- Thomas Dinsdale-Young
- Philippa Gardner
Information and Computation, vol. 208(5), pp. 474–499
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Concurrent Abstract Predicates
- Thomas Dinsdale-Young
- Mike Dodds
- Philippa Gardner
- Matthew J. Parkinson
- Viktor Vafeiadis
Proceedings of the 24th European Conference on Object-Oriented Programming (ECOOP’10), pp. 504–528
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Abstraction and Refinement for Local Reasoning
- Thomas Dinsdale-Young
- Philippa Gardner
- Mark J. Wheelhouse
Proceedings of the 3rd International Conference on Verified Software: Theories, Tools, Experiments (VSTTE’10), pp. 199–215
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Reasoning About Client-side Web Programs: Invited Talk
Proceedings of the 2010 EDBT/ICDT Workshops
2009
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A Process Model of Actin Polymerisation
- Luca Cardelli
- Emmanuelle Caron
- Philippa Gardner
- Ozan Kahramanogullari
- Andrew Phillips
Electr. Notes Theor. Comput. Sci., vol. 229(1), pp. 127–144
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Database Programming Languages
Database Programming Languages - DBPL 2009, 12th International Symposium, Lyon, France, August 24, 2009. Proceedings
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Small Specifications for Tree Update
- Philippa Gardner
- Mark J. Wheelhouse
Proceedings of the 6th International Workshop on Web Services and Formal Methods (WS-FM’09), pp. 178–195
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Automatic Parallelization with Separation Logic
- Mohammad Raza
- Cristiano Calcagno
- Philippa Gardner
Proceedings of the 18th European Symposium on Programming (ESOP’09), pp. 348–362
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- Mohammad Raza
- Philippa Gardner
Logical Methods in Computer Science, vol. 5(2)
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- Christiano Calcagno
- Thomas Dinsdale-Young
- Philippa Gardner
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A process model of Rho GTP-binding proteins
- Luca Cardelli
- Emmanuelle Caron
- Philippa Gardner
- Ozan Kahramanoğulları
- Andrew Phillips
Theoretical Computer Science, vol. 410(33), pp. 3166–3185
2008
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Behavioural Equivalences for Dynamic Web Data
- Sergio Maffeis
- Philippa Gardner
Logic and Algebraic Programming, vol. 75(1), pp. 86–138
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A Process Model of Rho GTP-binding Proteins in the Context of Phagocytosis
- Luca Cardelli
- Philippa Gardner
- Ozan Kahramanogullari
Electr. Notes Theor. Comput. Sci., vol. 194(3), pp. 87–102
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DOM: Towards a Formal Specification
- Philippa Gardner
- Gareth Smith
- Mark J. Wheelhouse
- Uri Zarfaty
Proceedings of the ACM SIGPLAN Workshop on Programming Language Technologies for XML (PLAN-X’08)
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Local Hoare Reasoning about DOM
- Philippa Gardner
- Gareth Smith
- Mark J. Wheelhouse
- Uri Zarfaty
Proceedings of the 27th ACM SIGMOD-SIGACT-SIGART Symposium on Principles of Database Systems (PODS’08), pp. 261–270
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- Mohammad Raza
- Philippa Gardner
Proceedings of the 11th International Conference on Foundations of Software Science and Computational Structures (FOSSACS’08), pp. 201–215
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Reasoning about High-Level Tree Update and its Low-Level Implementation
- Philippa Gardner
- Uri Zarfaty
2007
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Adjunct Elimination in Context Logic for Trees
- Cristiano Calcagno
- Thomas Dinsdale-Young
- Philippa Gardner
Proceedings of the 5th Asian Symposium on Programming Languages and Systems (APLAS’07), pp. 255–270
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Local Reasoning about Data Update
- Cristiano Calcagno
- Philippa Gardner
- Uri Zarfaty
Electronic Notes on Theoretical Computer Science, vol. 172, pp. 133–175
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Manipulating Trees with Hidden Labels
- Luca Cardelli
- Philippa Gardner
- Giorgio Ghelli
Electronic Notes in Theoretical Computer Science, vol. 172, pp. 177–201
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- Philippa Gardner
- Cosimo Laneve
- Lucian Wischik
Inf. Comput., vol. 205(10), pp. 1526–1550
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Expressiveness and Complexity of Graph Logic
- Anuj Dawar
- Philippa Gardner
- Giorgio Ghelli
Information and Computation, vol. 205(3), pp. 263–310
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Context Logic as Modal Logic: Completeness and Parametric Inexpressivity
- Cristiano Calcagno
- Philippa Gardner
- Uri Zarfaty
Proceedings of the 34th ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages (POPL’07), pp. 123–134
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An Introduction to Context Logic
- Philippa Gardner
- Uri Zarfaty
Proceedings of the 14th International Workshop on Logic, Language, Information and Computation (WoLLIC’07), pp. 189–202
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- Uri D Zarfaty
Imperial College London
2006
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Local Reasoning About Tree Update
- Uri Zarfaty
- Philippa Gardner
Electr. Notes Theor. Comput. Sci., vol. 158, pp. 399–424
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- Philippa Gardner
- Nobuko Yoshida
Theor. Comput. Sci., vol. 358(2-3), pp. 149
2005
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- Philippa Gardner
- Sergio Maffeis
Theoretical Computer Science, vol. 342(1), pp. 104–131
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- Lucian Wischik
- Philippa Gardner
Theor. Comput. Sci., vol. 340(3), pp. 606–630
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From Separation Logic to First-Order Logic
- Cristiano Calcagno
- Philippa Gardner
- Matthew Hague
Proceedings of the 8th International Conference on Foundations of Software Science and Computational Structures (FOSSACS’05), pp. 395–409
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- Cristiano Calcagno
- Philippa Gardner
- Uri Zarfaty
Proceedings of the 32nd ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages (POPL’05), pp. 271–282
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Graph Transformations and Process Algebras for Modeling Distributed and Mobile Systems
- Barbara König
- Ugo Montanari
- Philippa Gardner
04241 Abstracts Collection – Graph Transformations and Process Algebras for Modeling Distributed and Mobile Systems
2004
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Adjunct Elimination Through Games in Static Ambient Logic
- Anuj Dawar
- Philippa Gardner
- Giorgio Ghelli
Proceedings of the 24th International Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS’04), pp. 211–223
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Behavioural Equivalences for Dynamic Web Data
- Sergio Maffeis
- Philippa Gardner
Proceedings of 3rd International Conference on Theoretical Computer Science (TCS’04), pp. 535–548
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Strong Bisimulation for the Explicit Fusion Calculus
- Lucian Wischik
- Philippa Gardner
Foundations of Software Science and Computation Structures, 7th International Conference, FOSSACS 2004, Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2004, Barcelona, Spain, March 29 - April 2, 2004, Proceedings, pp. 484–498
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Preface CONCUR 2004, Proceedings
CONCUR 2004 - Concurrency Theory, 15th International Conference, London, UK, August 31 - September 3, 2004, Proceedings
2003
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- Philippa Gardner
- Cosimo Laneve
- Lucian Wischik
CONCUR 2003 - Concurrency Theory, 14th International Conference, Marseille, France, September 3-5, 2003, Proceedings, pp. 408–422
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- Philippa Gardner
- Sergio Maffeis
Proceedings of 9th International Workshop on Database Programming Languages (DBPL’03), pp. 130–146
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- Gavin Bierman
- Peter Buneman
- Philipa Gardner
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Manipulating Trees with Hidden Labels
- Luca Cardelli
- Philippa Gardner
- Giorgio Ghelli
Proceedings of the 6th International Conference on Foundations of Software Science and Computational Structures (FOSSACS’03), pp. 216–232
2002
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- Philippa Gardner
- Cosimo Laneve
- Lucian Wischik
CONCUR 2002 - Concurrency Theory, 13th International Conference, Brno, Czech Republic, August 20-23, 2002, Proceedings, pp. 418–433
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A Spatial Logic for Querying Graphs
- Luca Cardelli
- Philippa Gardner
- Giorgio Ghelli
Proceedings of the 29th International Colloquium on Automata, Languages and Programming (ICALP’02), pp. 597–610
2000
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- Philippa Gardner
- Lucian Wischik
Mathematical Foundations of Computer Science 2000, 25th International Symposium, MFCS 2000, Bratislava, Slovakia, August 28 - September 1, 2000, Proceedings, pp. 373–382
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From Process Calculi to Process Frameworks
CONCUR 2000 - Concurrency Theory, 11th International Conference, University Park, PA, USA, August 22-25, 2000, Proceedings, pp. 69–88
1999
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- Philippa Gardner
- Lucian J. Wischik
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Theor. Comput. Sci., vol. 228(1-2), pp. 77–103
1997
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A Type-theoretic Description of Action Calculi
Electr. Notes Theor. Comput. Sci., vol. 10, pp. 52
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From Action Calculi to Linear Logic
- Andrew G. Barber
- Philippa Gardner
- Masahito Hasegawa
- Gordon D. Plotkin
Computer Science Logic, 11th International Workshop, CSL ’97, Annual Conference of the EACSL, Aarhus, Denmark, August 23-29, 1997, Selected Papers, pp. 78–97
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Types and Models for Higher-Order Action Calculi
- Philippa Gardner
- Masahito Hasegawa
Theoretical Aspects of Computer Software, Third International Symposium, TACS ’97, Sendai, Japan, September 23-26, 1997, Proceedings, pp. 583–603
1995
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A Name-free Account of Action Calculi
Electr. Notes Theor. Comput. Sci., vol. 1, pp. 214–231
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Equivalences between Logics and Their Representing Type Theories
Mathematical Structures in Computer Science, vol. 5(3), pp. 323–349
1994
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Discovering Needed Reductions Using Type Theory
Theoretical Aspects of Computer Software, International Conference TACS ’94, Sendai, Japan, April 19-22, 1994, Proceedings, pp. 555–574
1993
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A New Type Theory for Representing Logics
Logic Programming and Automated Reasoning, 4th International Conference, LPAR’93, St. Petersburg, Russia, July 13–20, 1993 Proceedings, pp. 146–157
1992
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Representing Logics in Type Theory
Ph.D. Thesis, University of Edinburgh, UK
1991
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Unfold/Fold Transformations of Logic Programs
- Philippa Gardner
- John C. Shepherdson
Computational Logic - Essays in Honor of Alan Robinson, pp. 565–583