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The theory of computational complexity focuses on functions and, hence, studies programs whose interactive behavior is reduced to a simple question/answer pattern. We propose a broader theory whose ultimate goal is expressing and analyzing…

Computational Complexity · Computer Science 2012-09-05 Ugo Dal Lago , Tobias Heindel , Damiano Mazza , Daniele Varacca

Concurrent constraint programming (ccp) is a well-established model for concurrency that singles out the fundamental aspects of asynchronous systems whose agents (or processes) evolve by posting and querying (partial) information in a…

Programming Languages · Computer Science 2012-12-18 Andrés Aristizábal , Filippo Bonchi , Luis Pino , Frank Valencia

Recent years have seen tremendous growth in the amount of verified software. Proofs for complex properties can now be achieved using higher-order theories and calculi. Complex properties lead to an ever-growing number of definitions and…

Programming Languages · Computer Science 2021-11-29 Eytan Singher , Shachar Itzhaky

This article describes the *Confluence Framework*, a novel framework for proving and disproving confluence using a divide-and-conquer modular strategy, and its implementation in CONFident. Using this approach, we are able to automatically…

Logic in Computer Science · Computer Science 2026-04-08 Raúl Gutiérrez , Salvador Lucas , Miguel Vítores

We present an automated reasoning framework for synthesizing recursion-free programs using saturation-based theorem proving. Given a functional specification encoded as a first-order logical formula, we use a first-order theorem prover to…

Logic in Computer Science · Computer Science 2024-03-01 Petra Hozzová , Laura Kovács , Chase Norman , Andrei Voronkov

Bisimulation is a concept that captures behavioural equivalence. It has been studied extensively on nonprobabilistic systems and on discrete-time Markov processes and on so-called continuous-time Markov chains. In the latter time is…

Logic in Computer Science · Computer Science 2024-01-31 Linan Chen , Florence Clerc , Prakash Panangaden

Locks are a classic data structure for concurrent programming. We introduce a type system to ensure that names of the asynchronous pi-calculus are used as locks. Our calculus also features a construct to deallocate a lock once we know that…

Logic in Computer Science · Computer Science 2023-09-15 Daniel Hirschkoff , Enguerrand Prebet

In the logic programming paradigm, a program is defined by a set of methods, each of which can be executed when specific conditions are met during the current state of an execution. The semantics of these programs can be elegantly…

Logic in Computer Science · Computer Science 2024-10-02 Matteo Acclavio , Roberto Maieli

In this paper we demonstrate that the class of basic feasible functionals has recursion theoretic properties which naturally generalize the corresponding properties of the class of feasible functions. We also improve the Kapron - Cook…

Logic in Computer Science · Computer Science 2007-05-23 Aleksandar Ignjatovic , Arun Sharma

The implicit theory that a simulation represents is precisely not in the individual choices but rather in the 'envelope' of possible trajectories - what is important is the shape of the whole envelope. Typically a huge amount of computation…

Programming Languages · Computer Science 2007-05-23 Oswaldo Teran , Bruce Edmonds , Steve Wallis

We introduce a data-driven approach to computing finite bisimulations for state transition systems with very large, possibly infinite state space. Our novel technique computes stutter-insensitive bisimulations of deterministic systems,…

Logic in Computer Science · Computer Science 2024-05-27 Alessandro Abate , Mirco Giacobbe , Yannik Schnitzer

Couplings are a powerful mathematical tool for reasoning about pairs of probabilistic processes. Recent developments in formal verification identify a close connection between couplings and pRHL, a relational program logic motivated by…

Programming Languages · Computer Science 2018-03-16 Gilles Barthe , Benjamin Grégoire , Justin Hsu , Pierre-Yves Strub

We present a generalisation of King's symbolic execution technique called compact symbolic execution. It is based on a concept of templates: a template is a declarative parametric description of such a program part, generating paths in…

Software Engineering · Computer Science 2012-01-31 Marek Trtík

Formally verifying properties of programs that manipulate arrays in loops is computationally challenging. In this paper, we focus on a useful class of such programs, and present a novel property-driven verification method that first infers…

Software Engineering · Computer Science 2017-10-05 Supratik Chakraborty , Ashutosh Gupta , Divyesh Unadkat

This work proposes a quantitative metric to analyze potential reusability of a BPEL (Business Process Execution Language) Process. The approach is based on Description and Logic Mismatch Probability of a BPEL Process that will be reused…

Software Engineering · Computer Science 2014-05-26 A. Khoshkbarforoushha , P. Jamshidi , M. Fahmideh , L. Wang , R. Ranjan

A $\lambda$-calculus is introduced in which all programs can be evaluated in probabilistic polynomial time and in which there is sufficient structure to represent sequential cryptographic constructions and adversaries for them, even when…

Programming Languages · Computer Science 2024-10-24 Ugo Dal Lago , Zeinab Galal , Giulia Giusti

Bisimulation metrics provide a robust and accurate approach to study the behavior of nondeterministic probabilistic processes. In this paper, we propose a logical characterization of bisimulation metrics based on a simple probabilistic…

Logic in Computer Science · Computer Science 2016-10-27 Valentina Castiglioni , Daniel Gebler , Simone Tini

Simulations and bisimulations are ubiquitous in the study of concurrent systems and modal logics of various types. Besides classical relational transition systems, relevant system types include, for instance, probabilistic, weighted,…

Logic in Computer Science · Computer Science 2025-05-22 Sergey Goncharov , Dirk Hofmann , Pedro Nora , Lutz Schröder , Paul Wild

The reflection principle is the statement that if a sentence is provable then it is true. Reflection principles have been studied for first-order theories, but they also play an important role in propositional proof complexity. In this…

Logic · Mathematics 2020-07-30 Pavel Pudlák

Labeled data for imitation learning of theorem proving in large libraries of formalized mathematics is scarce as such libraries require years of concentrated effort by human specialists to be built. This is particularly challenging when…

Artificial Intelligence · Computer Science 2022-03-17 Jesse Michael Han , Jason Rute , Yuhuai Wu , Edward W. Ayers , Stanislas Polu