A Toolbox for Barriers on Interactive Oracle Proofs

Interactive proof system

In computational complexity theory, an interactive proof system is an abstract machine that models computation as the exchange of messages between two parties: a prover and a verifier. The parties interact by exchanging messages in order to ascertain whether a given string belongs to a language or not. The prover possesses unlimited computational resources but cannot be trusted, while the verifier has bounded computation power but is assumed to be always honest.

Complexity class

In computational complexity theory, a complexity class is a set of computational problems "of related resource-based complexity". The two most commonly analyzed resources are time and memory. In general, a complexity class is defined in terms of a type of computational problem, a model of computation, and a bounded resource like time or memory. In particular, most complexity classes consist of decision problems that are solvable with a Turing machine, and are differentiated by their time or space (memory) requirements.

Computational complexity theory

In theoretical computer science and mathematics, computational complexity theory focuses on classifying computational problems according to their resource usage, and relating these classes to each other. A computational problem is a task solved by a computer. A computation problem is solvable by mechanical application of mathematical steps, such as an algorithm. A problem is regarded as inherently difficult if its solution requires significant resources, whatever the algorithm used.

A Toolbox for Barriers on Interactive Oracle Proofs

Graph Chatbot

Orthologic with Axioms

SC-TPTP: An Extension of the TPTP Derivation Format for Sequent-Based Calculus

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Orthologic with Axioms

SC-TPTP: An Extension of the TPTP Derivation Format for Sequent-Based Calculus

Analytical Computation of the Sensitivity Coefficients in Hybrid AC/DC Networks