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Concurrency and probability are both much studied extensions of sequential computation. Within concurrency theory, there is a broad divide between interleaving models and logics, which model concurrency by non-determinism, and `truly…

Formal Languages and Automata Theory · Computer Science 2020-12-21 Nargess Ghahremani , Julian Bradfield

Establishing equivalences between programs or systems is crucial both for verifying correctness of programs, by establishing that two implementations are equivalent, and for justifying optimisations and program transformations, by…

Logic in Computer Science · Computer Science 2021-10-25 Rabéa Ameur-Boulifa , Ludovic Henrio , Eric Madelaine

In probabilistic transition systems, behavioural metrics provide a more fine-grained and stable measure of system equivalence than crisp notions of bisimilarity. They correlate strongly to quantitative probabilistic logics, and in fact the…

Logic in Computer Science · Computer Science 2019-06-05 Paul Wild , Lutz Schröder , Dirk Pattinson , Barbara König

This paper gives a detailed account of the relationship between (a variant of) the call-by-value lambda calculus and linear logic proof nets. The presentation is carefully tuned in order to realize a strong bisimulation between the two…

Logic in Computer Science · Computer Science 2013-04-01 Beniamino Accattoli

Inquisitive modal logic, InqML, is a generalisation of standard Kripke-style modal logic. In its epistemic incarnation, it extends standard epistemic logic to capture not just the information that agents have, but also the questions that…

Logic in Computer Science · Computer Science 2017-07-28 Ivano Ciardelli , Martin Otto

We present a concurrent operational Petri net semantics for the join-calculus, a process calculus for specifying concurrent and distributed systems. There often is a gap between system specifications and the actual implementations caused by…

Logic in Computer Science · Computer Science 2012-08-15 Stephan Mennicke

In a paper presented at SOS 2010, we developed a framework for big-step semantics for interactive input-output in combination with divergence, based on coinductive and mixed inductive-coinductive notions of resumptions, evaluation and…

Programming Languages · Computer Science 2013-12-11 Tarmo Uustalu

When can we say that two neural systems perform a task in the same way? What nuances do we miss when we fail to causally probe the representations of the systems, and how do we establish bidirectional causal relationships? In this work, we…

Machine Learning · Computer Science 2025-11-04 Satchel Grant

We propose a modal study of the notion of bisimulation. Our contribution is threefold. First, we extend the basic modal language with a new modality $\nbi$, whose intended meaning is universal quantification over all states that are…

Logic in Computer Science · Computer Science 2026-04-14 Alfredo Burrieza , Fernando Soler-Toscano , Antonio Yuste-Ginel

Inquisitive modal logic, InqML, in its epistemic incarnation, extends standard epistemic logic to capture not just the information that agents have, but also the questions that they are interested in. We use the natural notion of…

Logic · Mathematics 2025-02-13 Ivano Ciardelli , Martin Otto

Behavioural equivalences can be characterized via bisimulations, modal logics and spoiler-defender games. In this paper we review these three perspectives in a coalgebraic setting, which allows us to generalize from the particular branching…

Logic in Computer Science · Computer Science 2021-04-20 Barbara König , Christina Mika-Michalski

In this paper bounded model checking of asynchronous concurrent systems is introduced as a promising application area for answer set programming. As the model of asynchronous systems a generalisation of communicating automata, 1-safe Petri…

Logic in Computer Science · Computer Science 2007-05-23 Keijo Heljanko , Ilkka Niemelä

The compactness lemma in programming language theory states that any recursive function can be simulated by a finite unrolling of the function. One important use case it has is in the logical relations proof technique for proving properties…

Programming Languages · Computer Science 2024-05-06 Matias Scharager

We prove that the well-known (strong) fully-concurrent bisimilarity and the novel i-causal-net bisimilarity, which is a sligtlhy coarser variant of causal-net bisimilarity, are decidable for finite bounded Petri nets. The proofs are based…

Logic in Computer Science · Computer Science 2024-02-14 Arnaldo Cesco , Roberto Gorrieri

The situation calculus logic model is convenient for modelling the actions that can occur in an information system application. The interplay of pre-conditions and post-conditions determines a semantically justified partial order of the…

Logic in Computer Science · Computer Science 2022-07-04 Edirlei Soares de Lima , Antonio L. Furtado , Bruno Feijó , Marco A. Casanova

A compositional Petri net-based semantics is given to a simple language allowing pointer manipulation and parallelism. The model is then applied to give a notion of validity to the judgements made by concurrent separation logic that…

Logic in Computer Science · Computer Science 2015-07-01 Jonathan Hayman , Glynn Winskel

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

Inquisitive modal logic InqML is a generalisation of standard Kripke-style modal logic. In its epistemic incarnation, it extends standard epistemic logic to capture not just the information that agents have, but also the questions that they…

Logic · Mathematics 2023-06-22 Ivano Ciardelli , Martin Otto

We define a notion of Lambda-simulation for coalgebraic modal logics, parametric on the choice Lambda of predicate liftings for a functor T. We show this notion is adequate in several ways: i) it preserves truth of positive formulas, ii)…

Logic in Computer Science · Computer Science 2013-04-12 Daniel Gorín , Lutz Schröder

The analysis of concurrent and reactive systems is based to a large degree on various notions of process equivalence, ranging, on the so-called linear-time/branching-time spectrum, from fine-grained equivalences such as strong bisimilarity…

Logic in Computer Science · Computer Science 2014-10-17 Alexander Kurz , Stefan Milius , Dirk Pattinson , Lutz Schröder