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The class of Basic Feasible Functionals BFF is the second-order counterpart of the class of first-order functions computable in polynomial time. We present several implicit characterizations of BFF based on a typed programming language of…

Logic in Computer Science · Computer Science 2025-01-29 Emmanuel Hainry , Bruce M. Kapron , Jean-Yves Marion , Romain Péchoux

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 propose a type system to analyze the time consumed by multi-threaded imperative programs with a shared global memory, which delineates a class of safe multi-threaded programs. We demonstrate that a safe multi-threaded program runs in…

Computational Complexity · Computer Science 2012-04-02 Jean-Yves Marion , Romain Péchoux

Information-flow security typing statically preserves confidentiality by enforcing noninterference. To address the practical need of selective and flexible declassification of confidential information, several approaches have developed a…

Programming Languages · Computer Science 2019-10-15 Raimil Cruz , Éric Tanter

Noninterference is a popular semantic security condition because it offers strong end-to-end guarantees, it is inherently compositional, and it can be enforced using a simple security type system. Unfortunately, it is too restrictive for…

Cryptography and Security · Computer Science 2021-01-14 Ethan Cecchetti , Andrew C. Myers , Owen Arden

This work provides a study to demonstrate the potential of using off-the-shelf programming languages and their theories to build sound language-based-security tools. Our study focuses on information flow security encompassing…

Cryptography and Security · Computer Science 2020-07-20 Minh Ngo , David A. Naumann , Tamara Rezk

We present a logically principled foundation for systematizing, in a way that works with any computational effect and evaluation order, SMT constraint generation seen in refinement type systems for functional programming languages. By…

Programming Languages · Computer Science 2023-08-21 Dimitrios J. Economou , Neel Krishnaswami , Jana Dunfield

This paper introduces a new methodology for the complexity analysis of higher-order functional programs, which is based on three ingredients: a powerful type system for size analysis and a sound type inference procedure for it, a ticking…

Logic in Computer Science · Computer Science 2017-06-29 Martin Avanzini , Ugo Dal Lago

A type system is introduced for a generic Object Oriented programming language in order to infer resource upper bounds. A sound andcomplete characterization of the set of polynomial time computable functions is obtained. As a consequence,…

Programming Languages · Computer Science 2018-02-20 Emmanuel Hainry , Romain Péchoux

This paper introduces a new methodology for the complexity analysis of higher-order functional programs, which is based on three components: a powerful type system for size analysis and a sound type inference procedure for it, a ticking…

Logic in Computer Science · Computer Science 2017-04-20 Martin Avanzini , Ugo Dal Lago

We combine dependent types with linear type systems that soundly and completely capture polynomial time computation. We explore two systems for capturing polynomial time: one system that disallows construction of iterable data, and one,…

Logic in Computer Science · Computer Science 2023-11-16 Robert Atkey

Type-and-effect systems help the programmer to organize data and computational effects in a program. While for traditional type systems expressive variants with sophisticated inference algorithms have been developed and widely used in…

Programming Languages · Computer Science 2025-10-24 Patrycja Balik , Szymon Jędras , Piotr Polesiuk

Information-flow security type systems ensure confidentiality by enforcing noninterference: a program cannot leak private data to public channels. However, in practice, programs need to selectively declassify information about private data.…

Programming Languages · Computer Science 2019-11-13 Raimil Cruz , Éric Tanter

We give new proofs of soundness (all representable functions on base types lies in certain complexity classes) for Elementary Affine Logic, LFPL (a language for polytime computation close to realistic functional programming introduced by…

Logic in Computer Science · Computer Science 2007-05-23 U. Dal Lago , M. Hofmann

We define a new subclass of nondeterministic finite automata for prefix-closed languages called Flanked Finite Automata (FFA). We show that this class enjoys good complexity properties while preserving the succinctness of nondeterministic…

Formal Languages and Automata Theory · Computer Science 2015-09-23 Florent Avellaneda , Silvano Dal Zilio , Jean-Baptiste Raclet

We present the design, implementation, and foundation of a verifier for higher-order functional programs with generics and recursive data types. Our system supports proving safety and termination using preconditions, postconditions and…

Logic in Computer Science · Computer Science 2020-03-25 Jad Hamza , Nicolas Voirol , Viktor Kunčak

Path polymorphism is the ability to define functions that can operate uniformly over arbitrary recursively specified data structures. Its essence is captured by patterns of the form $x\,y$ which decompose a compound data structure into its…

Logic in Computer Science · Computer Science 2020-06-30 Andrés Viso , Eduardo Bonelli , Mauricio Ayala-Rincón

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

One of the aims of Implicit Computational Complexity is the design of programming languages with bounded computational complexity; indeed, guaranteeing and certifying a limited resources usage is of central importance for various aspects of…

Logic in Computer Science · Computer Science 2014-10-24 Erika De Benedetti , Simona Ronchi Della Rocca

To ensure programs do not leak private data, we often want to be able to provide formal guarantees ensuring such data is handled correctly. Often, we cannot keep such data secret entirely; instead programmers specify how private data may be…

Programming Languages · Computer Science 2026-04-21 Jan Menz , Andrew K. Hirsch , Peixuan Li , Deepak Garg
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