Models for quantitative distributed systems and multi-valued logics

Models for Quantitative Distributed Systems and Multi-Valued Logics

We investigate weighted asynchronous cellular automata with weights in valuation monoids. These automata form a distributed extension of weighted finite automata and allow us to model concurrency. Valuation monoids are abstract weight structures that include semirings and (non-distributive) bounded lattices but also offer the possibility to model average behaviors. We prove that weighted asynch...

Models for Quantitative Distributed Systems and Multi-Valued Logics

We investigate weighted asynchronous cellular automata with weights in valuation monoids. These automata form a distributed extension of weighted finite automata and allow us to model concurrency. Valuation monoids are abstract weight structures that include semirings and (non-distributive) bounded lattices but also offer the possibility to model average behaviors. We prove that weighted asynch...

Multi-Valued Logics

A great deal of recent theoretical work in inference has involved extending classical logic in some way. I argue that these extensions share two properties: firstly, the formal addition of truth values encoding intermediate levels of validity between true (i.e., valid) and false (i.e., invalid) and, secondly, the addition of truth values encoding intermediate levels of certainty between true or...

Multi-valued Logics

2 General theory 3 2.1 Semantics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Some logical calculi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.2.1 Sequent and tableau calculi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.2.2 Resolution calculi . . . . . . . . . . . . . . . . . . . . . ...

Local multi-valued logics in modular expert systems