A New Term Rewriting Characterisation of ETIME functions
نویسندگان
چکیده
Adopting former term rewriting characterisations of polytime and exponential-time computable functions, we introduce a new reduction order, the Path Order for ETIME (POE∗ for short), that is sound and complete for ETIME computable functions. The proposed reduction order for ETIME makes contrasts to those related complexity classes clear.
منابع مشابه
Complexity Hierarchies and Higher-order Cons-free Term Rewriting
Constructor rewriting systems are said to be cons-free if, roughly, constructor terms in the right-hand sides of rules are subterms of the left-hand sides; the computational intuition is that rules cannot build new data structures. In programming language research, cons-free languages have been used to characterize hierarchies of computational complexity classes; in term rewriting, cons-free fi...
متن کاملHigher-order Cons-free Interpreters
Constructor rewriting systems are said to be cons-free if any constructor term occurring in the rhs of a rule must be a subterm of the lhs of the rule. Roughly, such systems cannot build new data structures during their evaluation. In earlier work by several authors, (typed) cons-free systems have been used to characterise complexity classes such as polynomial or exponential time or space by va...
متن کاملComplexity Hierarchies and Higher-Order Cons-Free Rewriting
Constructor rewriting systems are said to be cons-free if, roughly, constructor terms in the righthand sides of rules are subterms of constructor terms in the left-hand side; the computational intuition is that rules cannot build new data structures. It is well-known that cons-free programming languages can be used to characterize computational complexity classes, and that cons-free first-order...
متن کاملA new order-theoretic characterisation of the polytime computable functions☆
We propose a new order-theoretic characterisation of the class of polytime computable functions. To this avail we define the small polynomial path order ([Formula: see text] for short). This termination order entails a new syntactic method to analyse the innermost runtime complexity of term rewrite systems fully automatically: for any rewrite system compatible with [Formula: see text] that empl...
متن کاملProjections for infinitary rewriting
Proof terms in term rewriting are a representation means for reduction sequences, and more in general for contraction activity, allowing to distinguish e.g. simultaneous from sequential reduction. Proof terms for finitary, first-order, left-linear term rewriting are described in [15], ch. 8. In a previous work [12] we defined an extension of the finitary proof-term formalism, that allows to des...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- CoRR
دوره abs/1312.7284 شماره
صفحات -
تاریخ انتشار 2013