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Biological systems perform complex multi-step processes in a reproducible way despite underlying stochasticity. The standard explanation is micromanagement by molecular machinery that recognizes and corrects specific errors. Here we study…

Populations and Evolution · Quantitative Biology 2026-05-14 Riccardo Ravasio , Kabir Husain , Constantine G. Evans , Rob Phillips , Marco Ribezzi-Crivellari , Jack W. Szostak , Arvind Murugan

We present a unifying framework for type systems for process calculi. The core of the system provides an accurate correspondence between essentially functional processes and linear logic proofs; fragments of this system correspond to…

Logic in Computer Science · Computer Science 2015-05-29 Emmanuel Beffara

Runtime efficiency and termination are crucial properties in the studies of program verification. Instead of dealing with these issues in an ad hoc manner, it would be useful to develop a robust framework in which such properties are…

Programming Languages · Computer Science 2026-04-06 Weijun Chen , Yuxi Fu , Huan Long

Dependent Object Types (DOT) is intended to be a core calculus for modelling Scala. Its distinguishing feature is abstract type members, fields in objects that hold types rather than values. Proving soundness of DOT has been surprisingly…

Programming Languages · Computer Science 2017-06-14 Marianna Rapoport , Ifaz Kabir , Paul He , Ondřej Lhoták

Functional programming languages are particularly well-suited for building automated reasoning systems, since (among other reasons) a logical term is well modeled by an inductive type, traversing a term can be implemented generically as a…

Programming Languages · Computer Science 2020-06-02 Daniel Selsam , Simon Hudon , Leonardo de Moura

Transient gradual typing imposes run-time type tests that typically cause a linear slowdown in programs' performance. This performance impact discourages the use of type annotations because adding types to a program makes the program…

Programming Languages · Computer Science 2019-02-19 Richard Roberts , Stefan Marr , Michael Homer , James Noble

Recent research has shown great progress on fine-grained entity typing. Most existing methods require pre-defining a set of types and training a multi-class classifier from a large labeled data set based on multi-level linguistic features.…

Computation and Language · Computer Science 2016-03-11 Lifu Huang , Jonathan May , Xiaoman Pan , Heng Ji

Architectural styles and patterns play an important role in software engineering. One of the most known ones is the layered architecture style. However, this style is usually only stated informally, which may cause problems such as…

Software Engineering · Computer Science 2015-03-18 Diego Marmsoler , Alexander Malkis , Jonas Eckhardt

Our research is part of a wider project that aims to investigate and reason about the correctness of scheme-based source code transformations of Erlang programs. In order to formally reason about the definition of a programming language and…

Programming Languages · Computer Science 2020-08-19 Péter Bereczky , Dániel Horpácsi , Simon Thompson

The class of Basic Feasible Functionals BFF$_2$ is the type-2 counterpart of the class FP of type-1 functions computable in polynomial time. Several characterizations have been suggested in the literature, but none of these present a…

Logic in Computer Science · Computer Science 2023-06-22 Emmanuel Hainry , Bruce M. Kapron , Jean-Yves Marion , Romain Péchoux

We revisit occurrence typing, a technique to refine the type of variables occurring in type-cases and, thus, capturesome programming patterns used in untyped languages. Although occurrence typing was tied from its inceptionto set-theoretic…

Programming Languages · Computer Science 2022-02-25 Giuseppe Castagna , Victor Lanvin , Mickaël Laurent , Kim Nguyen

Properties expressed as the provability of a first-order sentence can be disproved by just finding a model of the negation of the sentence. This fact, however, is meaningful in restricted cases only, depending on the shape of the sentence…

Programming Languages · Computer Science 2017-09-18 Salvador Lucas

Many formal languages of contemporary mathematical music theory -- particularly those employing category theory -- are powerful but cumbersome: ideas that are conceptually simple frequently require expression through elaborate categorical…

Category Theory · Mathematics 2025-12-05 Drew Flieder

Partial incorrectness logic (partial reverse Hoare logic) has recently been introduced as a new Hoare-style logic that over-approximates the weakest pre-conditions of a program and a post-condition. It is expected to verify systems where…

Logic in Computer Science · Computer Science 2025-03-03 Yukihiro Oda

We introduce a novel parsing concept called local lexing. It integrates the classically separated stages of lexing and parsing by allowing lexing to be dependent upon the parsing progress and by providing a simple mechanism for constraining…

Logic in Computer Science · Computer Science 2017-02-27 Steven Obua , Phil Scott , Jacques Fleuriot

Strong static type systems help programmers eliminate many errors without much burden of supplying type annotations. However, this flexibility makes it highly non-trivial to diagnose ill-typed programs, especially for novice programmers.…

Programming Languages · Computer Science 2022-10-10 Chuqin Geng , Haolin Ye , Yixuan Li , Tianyu Han , Brigitte Pientka , Xujie Si

The introduction of first-class type classes in the Coq system calls for re-examination of the basic interfaces used for mathematical formalization in type theory. We present a new set of type classes for mathematics and take full advantage…

Logic in Computer Science · Computer Science 2011-02-08 Bas Spitters , Eelis van der Weegen

We over-approximate reachability sets in string rewriting by languages defined by admissible factors, called tiles. A sparse set of tiles contains only those that are reachable in derivations, and is constructed by completing an automaton.…

Logic in Computer Science · Computer Science 2020-03-04 Alfons Geser , Dieter Hofbauer , Johannes Waldmann

Predicate abstraction provides a powerful tool for verifying properties of infinite-state systems using a combination of a decision procedure for a subset of first-order logic and symbolic methods originally developed for finite-state model…

Logic in Computer Science · Computer Science 2007-05-23 Shuvendu K. Lahiri , Randal E. Bryant

We consider prescriptive type systems for logic programs (as in Goedel or Mercury). In such systems, the typing is static, but it guarantees an operational property: if a program is "well-typed", then all derivations starting in a…

Logic in Computer Science · Computer Science 2007-05-23 Pierre Deransart , Jan-Georg Smaus
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