Proving proof rules: a proof system for concurrent programs

1990 ◽  
Author(s):  
D.M. Goldschlag
Keyword(s):  
Proof System ◽  
Concurrent Programs ◽  
Proof Rules

scholarly journals TaDA Live: Compositional Reasoning for Termination of Fine-grained Concurrent Programs

2021 ◽  
Vol 43 (4) ◽  
pp. 1-134
Author(s):  
Emanuele D’Osualdo ◽  
Julian Sutherland ◽  
Azadeh Farzan ◽  
Philippa Gardner
Keyword(s):  
Case Studies ◽  
Separation Logic ◽  
Proof System ◽  
Concurrent Programs ◽  
Semantic Model ◽  
Compositional Reasoning ◽  
Fine Grained ◽  
Fundamental Innovation ◽  
Concurrent Separation Logic

We present TaDA Live, a concurrent separation logic for reasoning compositionally about the termination of blocking fine-grained concurrent programs. The crucial challenge is how to deal with abstract atomic blocking : that is, abstract atomic operations that have blocking behaviour arising from busy-waiting patterns as found in, for example, fine-grained spin locks. Our fundamental innovation is with the design of abstract specifications that capture this blocking behaviour as liveness assumptions on the environment. We design a logic that can reason about the termination of clients that use such operations without breaking their abstraction boundaries, and the correctness of the implementations of the operations with respect to their abstract specifications. We introduce a novel semantic model using layered subjective obligations to express liveness invariants and a proof system that is sound with respect to the model. The subtlety of our specifications and reasoning is illustrated using several case studies.

Causal-Consistent Replay Reversible Semantics for Message Passing Concurrent Programs

2021 ◽  
Vol 178 (3) ◽  
pp. 229-266
Author(s):  
Ivan Lanese ◽  
Adrián Palacios ◽  
Germán Vidal
Keyword(s):  
Programming Language ◽  
Message Passing ◽  
Concurrent Programming ◽  
Concurrent Systems ◽  
Concurrent Programs ◽  
Unified Framework ◽  
Innovative Technique ◽  
Dual Notion

Causal-consistent reversible debugging is an innovative technique for debugging concurrent systems. It allows one to go back in the execution focusing on the actions that most likely caused a visible misbehavior. When such an action is selected, the debugger undoes it, including all and only its consequences. This operation is called a causal-consistent rollback. In this way, the user can avoid being distracted by the actions of other, unrelated processes. In this work, we introduce its dual notion: causal-consistent replay. We allow the user to record an execution of a running program and, in contrast to traditional replay debuggers, to reproduce a visible misbehavior inside the debugger including all and only its causes. Furthermore, we present a unified framework that combines both causal-consistent replay and causal-consistent rollback. Although most of the ideas that we present are rather general, we focus on a popular functional and concurrent programming language based on message passing: Erlang.

A Complete Proof System for SCCS with Modal Assertions

1986 ◽  
Vol 9 (4) ◽  
pp. 401-419
Author(s):  
Glynn Winskel
Keyword(s):  
Proof System ◽  
Complete Proof

Synthesizing software verifiers from proof rules

2012 ◽  
Vol 47 (6) ◽  
pp. 405-416 ◽  
Author(s):  
Sergey Grebenshchikov ◽  
Nuno P. Lopes ◽  
Corneliu Popeea ◽  
Andrey Rybalchenko
Keyword(s):  
Proof Rules

scholarly journals Mechanized verification of fine-grained concurrent programs

2015 ◽  
Vol 50 (6) ◽  
pp. 77-87 ◽  
Author(s):  
Ilya Sergey ◽  
Aleksandar Nanevski ◽  
Anindya Banerjee
Keyword(s):  
Concurrent Programs ◽  
Fine Grained ◽  
Mechanized Verification

scholarly journals On Correspondence between Selective CPS Transformation and Selective Double Negation Translation

Mathematics ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 385
Author(s):  
Hyeonseung Im
Keyword(s):  
Programming Languages ◽  
Intuitionistic Logic ◽  
Reference Point ◽  
Classical Logic ◽  
Proof System ◽  
Double Negation

A double negation translation (DNT) embeds classical logic into intuitionistic logic. Such translations correspond to continuation passing style (CPS) transformations in programming languages via the Curry-Howard isomorphism. A selective CPS transformation uses a type and effect system to selectively translate only nontrivial expressions possibly with computational effects into CPS functions. In this paper, we review the conventional call-by-value (CBV) CPS transformation and its corresponding DNT, and provide a logical account of a CBV selective CPS transformation by defining a selective DNT via the Curry-Howard isomorphism. By using an annotated proof system derived from the corresponding type and effect system, our selective DNT translates classical proofs into equivalent intuitionistic proofs, which are smaller than those obtained by the usual DNTs. We believe that our work can serve as a reference point for further study on the Curry-Howard isomorphism between CPS transformations and DNTs.

A generic approach to the static analysis of concurrent programs with procedures

2003 ◽  
Vol 38 (1) ◽  
pp. 62-73 ◽  
Author(s):  
Ahmed Bouajjani ◽  
Javier Esparza ◽  
Tayssir Touili
Keyword(s):  
Static Analysis ◽  
Concurrent Programs
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