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We compare the expressive power of three programming abstractions for user-defined computational effects: Bauer and Pretnar's effect handlers, Filinski's monadic reflection, and delimited control without answer-type-modification. This…

Logic in Computer Science · Computer Science 2017-03-01 Yannick Forster , Ohad Kammar , Sam Lindley , Matija Pretnar

In compositional model-theoretic semantics, researchers assemble truth-conditions or other kinds of denotations using the lambda calculus. It was previously observed that the lambda terms and/or the denotations studied tend to follow the…

Computation and Language · Computer Science 2016-07-11 Jirka Maršík , Maxime Amblard

Side effects are a core part of practical programming. However, they are often hard to reason about, particularly in a concurrent setting. We propose a foundation for reasoning about concurrent side effects using sessions. Primarily, we…

Programming Languages · Computer Science 2016-02-12 Dominic Orchard , Nobuko Yoshida

Type-and-effect systems are a widely-used approach to program verification, verifying the result of a computation using types, and the behavior using effects. This paper extends an effect system for verifying temporal, value-dependent…

Programming Languages · Computer Science 2022-07-22 Taro Sekiyama , Hiroshi Unno

The Edinburgh Logical Framework (LF) is a dependently type lambda calculus that can be used to encode formal systems. The versatility of LF allows specifications to be constructed also about the encoded systems. The Twelf system exploits…

Logic in Computer Science · Computer Science 2013-07-09 Yuting Wang , Gopalan Nadathur

Effect systems are lightweight extensions to type systems that can verify a wide range of important properties with modest developer burden. But our general understanding of effect systems is limited primarily to systems where the order of…

Programming Languages · Computer Science 2021-07-16 Colin S. Gordon

Effect algebras form a formal algebraic description of the structure of the so-called effects in a Hilbert space which serves as an event-state space for effects in quantum mechanics. This is why effect algebras are considered as logics of…

Logic · Mathematics 2019-08-16 Ivan Chajda , Helmut Länger

The syntax of an imperative language does not mention explicitly the state, while its denotational semantics has to mention it. In this paper we present a framework for the verification in Coq of properties of programs manipulating the…

Logic in Computer Science · Computer Science 2013-10-15 Jean-Guillaume Dumas , Dominique Duval , Burak Ekici , Damien Pous

We introduce the abstract notions of "monadic operational semantics", a small-step semantics where computational effects are modularly modeled by a monad, and "type-and-effect system", including "effect types" whose interpretation lifts…

Programming Languages · Computer Science 2025-04-15 Francesco Dagnino , Paola Giannini , Elena Zucca

Probabilistic programming languages, which exist in abundance, are languages that allow users to calculate probability distributions defined by probabilistic programs, by using inference algorithms. However, the underlying inference…

Programming Languages · Computer Science 2026-01-15 Oliver Goldstein , Ohad Kammar

We reflect on programming with complicated effects, recalling an undeservingly forgotten alternative to monadic programming and checking to see how well it can actually work in modern functional languages. We adopt and argue the position of…

Programming Languages · Computer Science 2019-05-17 Oleg Kiselyov

Effectus theory is a new branch of categorical logic that aims to capture the essentials of quantum logic, with probabilistic and Boolean logic as special cases. Predicates in effectus theory are not subobjects having a Heyting algebra…

Logic in Computer Science · Computer Science 2015-12-21 Kenta Cho , Bart Jacobs , Bas Westerbaan , Abraham Westerbaan

A growing interest in tasks involving language understanding by the NLP community has led to the need for effective semantic parsing and inference. Modern NLP systems use semantic representations that do not quite fulfill the nuanced needs…

Computation and Language · Computer Science 2019-04-01 Gene Louis Kim , Lenhart Schubert

Regular languages -- the languages accepted by deterministic finite automata -- are known to be precisely the languages recognized by finite monoids. This characterization is the origin of algebraic language theory. In this paper, we…

Formal Languages and Automata Theory · Computer Science 2025-05-06 Fabian Lenke , Stefan Milius , Henning Urbat , Thorsten Wißmann

Algebraic effects and handlers support composable and structured control-flow abstraction. However, existing designs of algebraic effects often require effects to be executed sequentially. This paper studies parallel algebraic effect…

Programming Languages · Computer Science 2021-10-15 Ningning Xie , Daniel D. Johnson , Dougal Maclaurin , Adam Paszke

Effect systems are lightweight extensions to type systems that can verify a wide range of important properties with modest developer burden. But our general understanding of effect systems is limited primarily to systems where the order of…

Programming Languages · Computer Science 2017-05-08 Colin S. Gordon

Partial evaluation (PE) is a powerful and general program optimization technique with many successful applications. However, it has never been investigated in the context of expressive rule-based languages like Maude, CafeOBJ, OBJ, ASF+SDF,…

Programming Languages · Computer Science 2016-08-12 Maria Alpuente , Angel Cuenca , Santiago Escobar , Jose Meseguer

We introduce a Geometry of Interaction model for higher-order quantum computation, and prove its adequacy for a full quantum programming language in which entanglement, duplication, and recursion are all available. Our model comes with a…

Logic in Computer Science · Computer Science 2017-07-18 Ugo Dal Lago , Claudia Faggian , Benoit Valiron , Akira Yoshimizu

Types-and-effects are type systems, which allow one to express general semantic properties and to statically reason about program's execution. They have been widely exploited to specify static analyses, for example to track computational…

Logic in Computer Science · Computer Science 2011-08-12 Letterio Galletta , Giorgio Levi

We present Decalf, a directed, effectful cost-aware logical framework for studying quantitative aspects of functional programs with effects. Like Calf, the language is based on an internal phase distinction between the behavior of a program…

Programming Languages · Computer Science 2026-05-22 Harrison Grodin , Yue Niu , Jonathan Sterling , Robert Harper